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Finding the Fourth Proportional to 8,712.69, 13,064.92 and 3,162.15

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Solution

The fourth proportional to 8,712.69, 13,064.92 and 3,162.15 is: 4,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.69 : 13,064.92 = 3,162.15 : x
  2. Step 2: Convert to fraction form
    8,712.69/13,064.92 = 3,162.15/x
  3. Step 3: Cross multiply
    8,712.69x = 13,064.92 × 3,162.15
  4. Step 4: Simplify right side
    8,712.69x = 41,313,236.78
  5. Step 5: Solve for x
    x = 41,313,236.78/8,712.69
  6. Step 6: Final answer
    x = 4,741.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.